Numerical analysis

Sparse grid

Sparse grids are numerical techniques to represent, integrate or interpolate high dimensional functions. They were originally developed by the Russian mathematician , a student of Lazar Lyusternik, and are based on a sparse tensor product construction. Computer algorithms for efficient implementations of such grids were later developed by Michael Griebel and Christoph Zenger. (Wikipedia).

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Awesome Number Pattern 1

Exploring an amazing pattern that forms when we multiply numbers built only with the one digit

From playlist Number Patterns

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Sparse Table Data Structure

Source code repository: https://github.com/williamfiset/algorithms Video slides: https://github.com/williamfiset/algorithms/tree/master/slides Website: http://www.williamfiset.com =================================== Practicing for interviews? I have used, and recommend `Cracking the Cod

From playlist Data structures playlist

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Grid Network - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Sparse Expert Models (Switch Transformers, GLAM, and more... w/ the Authors)

#nlp #sparsity #transformers This video is an interview with Barret Zoph and William Fedus of Google Brain about Sparse Expert Models. Sparse Expert models have been hugely successful at distributing parts of models, mostly Transformers, across large array of machines and use a routing fu

From playlist Deep Learning Architectures

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The sporadic nature of big numbers | Data Structures in Mathematics Math Foundations 176

In this video we derive a fundamental but destabilizing fact about natural numbers: that almost everything we know about arithmetic with natural numbers starts to break down as we proceed to investigate bigger and bigger numbers. By studying complexity and making some estimates using count

From playlist Math Foundations

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Abundant, Deficient, and Perfect Numbers ← number theory ← axioms

Integers vary wildly in how "divisible" they are. One way to measure divisibility is to add all the divisors. This leads to 3 categories of whole numbers: abundant, deficient, and perfect numbers. We show there are an infinite number of abundant and deficient numbers, and then talk abou

From playlist Number Theory

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Data Structures: Arrays vs Linked Lists

See complete series on data structures here: https://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson we will compare arrays with linked lists based on various parameters and understand the cost of various operations with these data structures. Lessons on bi

From playlist Data structures

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Isolated Vertex - Graph Theory

Example and explanation of an isolated vertex

From playlist Graph Theory

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Mod-01 Lec-13 Solving ODE - BVPs and PDEs Using Finite Difference Method

Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org

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Live CEOing Ep 294: Language Design in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Language Design in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

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Mod-01 Lec-14 Finite Difference Method (contd.) and Polynomial Interpolations

Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org

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Maria Charina: Algebraic multigrid and subdivision

Abstract: Multigrid is an iterative method for solving large linear systems of equations whose Toeplitz system matrix is positive definite. One of the crucial steps of any Multigrid method is based on multivariate subdivision. We derive sufficient conditions for convergence and optimality

From playlist Numerical Analysis and Scientific Computing

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Structured Regularization Summer School - C. Fernandez-Granda - 20/06/2017

Carlos Fernandez-Granda (NYU): A sampling theorem for robust deconvolution Abstract: In the 70s and 80s geophysicists proposed using l1-norm regularization for deconvolution problem in the context of reflection seismology. Since then such methods have had a great impact in high-dimensiona

From playlist Structured Regularization Summer School - 19-22/06/2017

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Advanced Programming with the Wolfram Compiler

The Wolfram Compiler is a long-term project for the compilation of Wolfram Language programs. It converts Wolfram Language into native machine code and provides a faster execution path as well as many opportunities for innovative programming features. It is used for an increasing amount of

From playlist Wolfram Technology Conference 2021

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Lec 16 | MIT 18.086 Mathematical Methods for Engineers II

General Methods for Sparse Systems View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06

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Andreas Mueller - Machine Learning with Scikit-Learn

PyData Amsterdam 2016 Description Scikit-learn has emerged as one of the most popular open source machine learning toolkits, now widely used in academia and industry. scikit-learn provides easy-to-use interfaces to perform advances analysis and build powerful predictive models. The tutor

From playlist talks

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On support localisation, the Fisher metric and optimal sampling .. - Poon - Workshop 1 - CEB T1 2019

Poon (University of Bath/Cambridge) / 06.02.2019 On support localisation, the Fisher metric and optimal sampling in off-the-grid sparse regularisation Sparse regularization is a central technique for both machine learning and imaging sciences. Existing performance guarantees assume a se

From playlist 2019 - T1 - The Mathematics of Imaging

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Sparse matrices in sparse analysis - Anna Gilbert

Members' Seminar Topic: Sparse matrices in sparse analysis Speaker: Anna Gilbert Affiliation: University of Michigan; Member, School of Mathematics Date: October 28, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Related pages

Curse of dimensionality | Dimension | Tensor product | Exponential function | Econometrica | Lazar Lyusternik